Summary Talk by Fox I S-Matrix theory including unitarity, analyticity, crossing, duality, Reggeons is correct but incomplete Reggeons and particles are not Born terms and so perturbative approaches adding effects such as final state interactions can be misleading Probably some channels are better than others! Be careful with formalisms that do not build in these constraints Basic amplitude for studying peripherally produced particles is Beam + Reggeon  Final State Should try two component duality Regge dual to Regge Pomeron dual to background Constrain fits with Finite Energy Sum Rules Should redo Regge fits to production – ignoring cuts Should look at simple production reactions such as π N  π π N to verify approach

Summary Talk by Fox II S-Matrix issues typically orthogonal to spectrum/Quark model issues although may be Glueballs and Pomeron have special relation Important cases where no Reggeon exchanges such as backward π+ π-  π+ π- scattering Special folk lore as in π exchange conspiracy Daughters and exchange degeneracy true but approximate Models like Deck effect imply that π exchange should be used for high partial waves. Expect to see additional resonances such as a1 “produced by π force” MapReduce and Clouds of (GPGPU enhanced) nodes good computing model